Answer:
1
Step-by-step explanation:
Any number raised to the zero power equals 1. This is by definition to make the rules of exponents work.
Look at this example:
Any number (except zero) divided by itself equals 1.
For example, 25/25 = 1,
but 25 = 5²,
so 25/25 = 5²/5²
The rule of dividing two powers with the same base is to use the same base and subtract the powers.
5²/5² = 5^(2 - 2) = 5^0
By the rule of exponents, 5²/5² = 5^0,
but we saw above that 5²/5² = 25/25 = 1, so
5^0 must equal 1.
This led to the following definition of zero exponent.
Definition:
For any number a, a^0 = 1.
